A. V. Vlakhova, A. P. Novoderova, “A variable structure model to study a four-wheels vehicle skid with slipping wheels”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, Number 3,Pages <nobr>40

This article is cited in 1 paper

Mechanics

A variable structure model to study a four-wheels vehicle skid with slipping wheels

A. V. Vlakhova^a, A. P. Novoderova^b

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b The Institute of Cybersecurity and Digital Technologies, MIREA

Abstract: Using the “bicycle” model, the dynamics of a biaxial four-wheeled vehicle is studied at the initial stage of skidding, which develops as a result of slipping of the driving axis wheels. To describe the interaction of wheels with the reference plane, the Coulomb friction model, the lateral slip model and the nonholonomic model are used. The construction of a model of the variable structure describing the stages of movement of the vehicle is carried out. Asymptotic methods and the phase plane method are used for the study.

Key words: wheeled vehicle skidding, lateral slip model, nonholonomic model, bicycle model, wheel slip, fractional analysis, theory of singular perturbations.

UDC: 531.8

Received: 15.12.2023

DOI: 10.55959/MSU0579-9368-1-65-3-6